W-Algebra Symmetries of Generalised Drinfel'd-Sokolov Hierarchies
arXiv:hep-th/9111032 · doi:10.1016/0370-2693(92)90324-W
Abstract
Using the zero-curvature formulation, it is shown that W-algebra transformations are symmetries of corresponding generalised Drinfel'd-Sokolov hierarchies. This result is illustrated with the examples of the KdV and Boussinesque hierarchies, and the hierarchy associated to the Polyakov-Bershadsky W-algebra.
arXiv comment13 pages